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A pump can fill a tank with water in 2 hours. Because of a leak, it took 213 hours to fill the tank. The leak can drain all the water of the tank in:

Correct Answer: 14 hours

Explanation:

If the total area of pump=1 part


The pumop take 2 hrs to fill 1 part 


The pumop take1 hour to fill 1/2 portion 


 


Due to lickage  


The pumop take 7/3 hrs to fill 1 part 


The pumop take1 hour to fill 3/7 portion 


Now the difference of area = (1/2-3/7)=1/14 


 


This 1/14 part of water drains in 1 hour 


Total area=1 part of water drains in (1x14/1)hours= 14 hours 


 


So the leak can drain all the water of the tank in 14 hours. 


Leak will empty the tank in 14 hrs


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